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Finding the Fourth Proportional to 563,640.20, 777,807.38 and 321,917.78

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Solution

The fourth proportional to 563,640.20, 777,807.38 and 321,917.78 is: 444,237.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,640.20 : 777,807.38 = 321,917.78 : x
  2. Step 2: Convert to fraction form
    563,640.20/777,807.38 = 321,917.78/x
  3. Step 3: Cross multiply
    563,640.20x = 777,807.38 × 321,917.78
  4. Step 4: Simplify right side
    563,640.20x = 250,390,019,538.59
  5. Step 5: Solve for x
    x = 250,390,019,538.59/563,640.20
  6. Step 6: Final answer
    x = 444,237.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.